256460451360 has 192 divisors, whose sum is σ = 856092343680. Its totient is φ = 64420536320.

The previous prime is 256460451347. The next prime is 256460451371. The reversal of 256460451360 is 63154064652.

It is a super-2 number, since 2×256460451360² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346039 + ... + 795401.

It is an arithmetic number, because the mean of its divisors is an integer number (4458814290).

Almost surely, 2^256460451360 is an apocalyptic number.

256460451360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256460451360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428046171840).

256460451360 is an abundant number, since it is smaller than the sum of its proper divisors (599631892320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256460451360 is a wasteful number, since it uses less digits than its factorization.

256460451360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449451 (or 449443 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 256460451360 in words is "two hundred fifty-six billion, four hundred sixty million, four hundred fifty-one thousand, three hundred sixty".